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On the Stability of Randall-Sundrum Braneworlds with Conformal Bulk Fields

Rui Neves
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Abstract

In the Randall-Sundrum scenario we consider exact 5-dimensional solutions with localized gravity which are associated with a well defined class of conformal bulk fields. We analyze their behaviour under radion field perturbations. We show that if the Randall-Sundrum exponential warp is the localizing metric function and the equation of state of the conformal fields is not changed by the radion perturbation then the 5-dimensional solutions are unstable. We present new stable solutions which describe on the brane the dynamics of inhomogeneous dust, generalized dark radiation and homogeneous polytopic matter.

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Rui Neves. 2004-09-03. On the Stability of Randall-Sundrum Braneworlds with Conformal Bulk Fields. https://arxiv.org/abs/hep-th/0409051

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